New formulas for Maclaurin's series expansions of powers of arctangent and other related topics

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2024-08-01 DOI:10.1080/10652469.2024.2382810

A. V. Grishaev, V. F. Sazonov

引用次数: 0

Abstract

The work proposes new formulas for Maclaurin's series expansions of natural and real powers of the arctangent and hyperbolic arctangent, a new explicit formula for the Meixner polynomial of the sec...

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麦考林反正切幂级数展开的新公式及其他相关主题

该著作提出了关于反正切和双曲反正切的自然幂和实数幂的麦克劳林级数展开的新公式，以及关于阶次多项式的梅克斯纳多项式的新明确公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.